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Simplifying 0.15x + 0.10(2.50 + -1x) = 28.75 0.15x + (2.50 * 0.10 + -1x * 0.10) = 28.75 0.15x + (0.25 + -0.1x) = 28.75 Reorder the terms: 0.25 + 0.15x + -0.1x = 28.75 Combine like terms: 0.15x + -0.1x = 0.05x 0.25 + 0.05x = 28.75 Solving 0.25 + 0.05x = 28.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + 0.05x = 28.75 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.05x = 28.75 + -0.25 0.05x = 28.75 + -0.25 Combine like terms: 28.75 + -0.25 = 28.5 0.05x = 28.5 Divide each side by '0.05'. x = 570 Simplifying x = 570
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